Question

3 . 2 mũ x + 2 mũ x +1 + 2 mũ x+2 = 288

 

Answer 1

\(3.2^x+2^{x+1}+2^{x+2}=288\\ \Leftrightarrow2^x\left(3+2+2^2\right)=288\\ \Leftrightarrow2^x=32=2^5\\ \Leftrightarrow x=5\)

tik mik nha

Answer 2

Ta có: \(3\cdot2^x+2^{x+1}+2^{x+2}=288\)

\(\Leftrightarrow2^x\cdot\left(3+2+4\right)=288\)

\(\Leftrightarrow2^x=32\)

hay x=5